Optimal domains for kernel operators on [0,∞) × [0,∞)

• Autorzy: Olvido Delgado
• Języki publikacji: EN

Abstrakty

EN

Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values in X) in terms of interpolation spaces, under appropriate conditions on the kernel and the space X. The techniques used are based on the relation between linear operators and vector measures.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 47G10: Integral operators
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 2
• Strony: 131-145

Daty

wydano

2006

Twórcy

autor

Olvido Delgado

• C. Calpe 2, 2 Escalera 6C, 21006, Huelva, Spain

Identyfikatory

DOI

10.4064/sm174-2-2